Question

黄金比例为：1.618/1或0.618/1,用1.618除以0.618,约等于2.618.这是一个巧合,还是一个必然?

Answer 1

必然的 可以推算出来

0.618 = (根号5 -1 )/2;

1.618 = (根号5 -1 )/2 + 1 = (根号5 +1 )/2;

1.618/0.618 = [(根号5 +1 )/2] / [(根号5 -1 )/2]

= (根号5 +1 ) / (根号5 -1 ) = (根号5 * 2+6)/4 = (根号5 + 3)/2

= (根号5 -1 )/2 + 2 = 0.618 + 2 =2.618